Abstract

Abstract There are several kinds of burst errors for which error detecting and correcting codes have been constructed. In this paper, we introduce a new kind of burst error which will be termed as ‘repeated burst error’. Linear codes capable of detecting such errors have been studied. Further, codes capable of detecting and simultaneously correcting such errors have also been dealt with. The paper obtains lower and upper bounds on the number of parity-check digits required for such codes. An example of such a code has also been provided.

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